71806273632 has 192 divisors, whose sum is σ = 216829992960. Its totient is φ = 23104300032.

The previous prime is 71806273597. The next prime is 71806273673. The reversal of 71806273632 is 23637260817.

71806273632 is a `hidden beast` number, since 7 + 1 + 8 + 0 + 6 + 2 + 7 + 3 + 632 = 666.

It is a super-2 number, since 2×71806273632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952273 + ... + 2976495.

It is an arithmetic number, because the mean of its divisors is an integer number (1129322880).

Almost surely, 2^71806273632 is an apocalyptic number.

71806273632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71806273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108414996480).

71806273632 is an abundant number, since it is smaller than the sum of its proper divisors (145023719328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71806273632 is a wasteful number, since it uses less digits than its factorization.

71806273632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24362 (or 24348 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 71806273632 in words is "seventy-one billion, eight hundred six million, two hundred seventy-three thousand, six hundred thirty-two".